(4x-9)(x-0)=0

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Solution for (4x-9)(x-0)=0 equation: 


Simplifying
(4x + -9)(x + 0) = 0

Reorder the terms:
(-9 + 4x)(x + 0) = 0

Reorder the terms:
(-9 + 4x)(0 + x) = 0
Remove the zero:
(-9 + 4x)(x) = 0

Reorder the terms for easier multiplication:
x(-9 + 4x) = 0
(-9 * x + 4x * x) = 0
(-9x + 4x2) = 0

Solving
-9x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-9 + 4x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-9 + 4x)' equal to zero and attempt to solve:

Simplifying
-9 + 4x = 0

Solving
-9 + 4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 4x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 0 + 9
4x = 0 + 9

Combine like terms: 0 + 9 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {0, 2.25}

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